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1005965000545 = 5349576484241
BaseRepresentation
bin11101010001110000010…
…11111011111101100001
310120011120102121211221011
432220320023323331201
5112440204020004140
62050044533100521
7132451515264121
oct16507013737541
93504512554834
101005965000545
1135869a02110a
12142b67787741
1373b2902bb6b
1436990744c81
151b27a288cea
hexea382fbf61

1005965000545 has 8 divisors (see below), whose sum is σ = 1210616908200. Its totient is φ = 802466062080.

The previous prime is 1005965000507. The next prime is 1005965000563. The reversal of 1005965000545 is 5450005695001.

It can be written as a sum of positive squares in 4 ways, for example, as 398327601424 + 607637399121 = 631132^2 + 779511^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1005965000545 - 229 = 1005428129633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005965000498 and 1005965000507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288240376 + ... + 288243865.

It is an arithmetic number, because the mean of its divisors is an integer number (151327113525).

Almost surely, 21005965000545 is an apocalyptic number.

It is an amenable number.

1005965000545 is a deficient number, since it is larger than the sum of its proper divisors (204651907655).

1005965000545 is an equidigital number, since it uses as much as digits as its factorization.

1005965000545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576484595.

The product of its (nonzero) digits is 135000, while the sum is 40.

The spelling of 1005965000545 in words is "one trillion, five billion, nine hundred sixty-five million, five hundred forty-five", and thus it is an aban number.

Divisors: 1 5 349 1745 576484241 2882421205 201193000109 1005965000545